{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1390845713048753792.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.2969/jmsj/78117811"}},{"identifier":{"@type":"NDL_BIB_ID","@value":"029459813"}},{"identifier":{"@type":"URI","@value":"http://id.ndl.go.jp/bib/029459813"}},{"identifier":{"@type":"URI","@value":"https://ndlsearch.ndl.go.jp/books/R000000004-I029459813"}},{"identifier":{"@type":"NAID","@value":"130007557163"}}],"dc:title":[{"@language":"en","@value":"Topological canal foliations"}],"dc:language":"en","description":[{"type":"abstract","notation":[{"@language":"en","@value":"<p>Regular canal surfaces of ℝ<sup>3</sup> or 𝕊<sup>3</sup> admit foliations by circles: the characteristic circles of the envelope. In order to build a foliation of 𝕊<sup>3</sup> with leaves being canal surfaces, one has to relax the condition “canal” a little (<i>“weak canal condition”</i>) in order to accept isolated umbilics. Here, we define a topological condition which generalizes this “weak canal” condition imposed on leaves, and classify the foliations of compact orientable 3-manifolds we can obtain this way.</p>"}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1410845713048753793","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000399380834"}],"foaf:name":[{"@language":"en","@value":"Hector Gilbert"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Institut C. Jordan UMR CNRS 5208 Université Lyon 1"}]},{"@id":"https://cir.nii.ac.jp/crid/1410845713048753792","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000399380835"}],"foaf:name":[{"@language":"en","@value":"Langevin Rémi"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Institut de Mathématiques de Bourgogne UMR CNRS 5584 Université de Bourgogne Franche Comté"}]},{"@id":"https://cir.nii.ac.jp/crid/1410845713048753794","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000399380836"}],"foaf:name":[{"@language":"en","@value":"Walczak Paweł"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Katedra Geometrii, Wydział Matematyki i Informatyki Uniwersytet Łódzki"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00255645"},{"@type":"LISSN","@value":"00255645"},{"@type":"EISSN","@value":"18811167"},{"@type":"EISSN","@value":"18812333"},{"@type":"CODEN","@value":"NISUBC"},{"@type":"NDL_BIB_ID","@value":"000000118458"},{"@type":"ISSN","@value":"00255645"},{"@type":"NCID","@value":"AA0070177X"}],"prism:publicationName":[{"@language":"en","@value":"Journal of the Mathematical Society of Japan"},{"@language":"en","@value":"J. Math. Soc. Japan"},{"@language":"en","@value":"JMSJ, J. Math. Soc. Japan"},{"@language":"en","@value":"JMSJ"},{"@language":"ja","@value":"Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ"},{"@language":"en","@value":"Journal of the Mathematical Society of Japan"}],"dc:publisher":[{"@language":"en","@value":"The Mathematical Society of Japan"},{"@language":"ja","@value":"一般社団法人 日本数学会"}],"prism:publicationDate":"2019","prism:volume":"71","prism:number":"1","prism:startingPage":"43","prism:endingPage":"63"},"reviewed":"false","url":[{"@id":"http://id.ndl.go.jp/bib/029459813"},{"@id":"https://ndlsearch.ndl.go.jp/books/R000000004-I029459813"}],"availableAt":"2019","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=foliation","dc:title":"foliation"},{"@id":"https://cir.nii.ac.jp/all?q=canal%20surface","dc:title":"canal surface"},{"@id":"https://cir.nii.ac.jp/all?q=griddling","dc:title":"griddling"}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360574095594104832","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Special canal surfaces of $$\\mathbb{S}^3$$"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855570209562240","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Sur les feuilletages g�od�siques continus des vari�t�s hyperboliques"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855570254726784","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Dynamiques source-puits et flots transversalement affines"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418520966763648","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Feuilletages En Cylindres"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418521348132480","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Regul�re Kurvenscharen auf den Ringfl�chen"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699993658254720","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Computing Rational Parametrizations of Canal Surfaces"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699993921640960","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Minimal rational parametrizations of canal surfaces"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699995311813504","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Conformal Invariants for Curves and Surfaces in Three Dimensional Space Forms"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699996266786560","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Diffeomorphisms of the 2-Sphere"}]},{"@id":"https://cir.nii.ac.jp/crid/1361981471047085568","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Laminations et hypersurfaces géodésiques des variétés hyperboliques"}]},{"@id":"https://cir.nii.ac.jp/crid/1362262945208756352","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Foliations with all leaves compact"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544421022637312","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Die Deformationss�tze der einfach zusammenh�ngenden Fl�chen"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544421207132032","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Foliations II"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825893493823488","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Introduction to the Geometry of Foliations, Part A"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825894434316544","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Conformal geometry of foliations"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825895246436736","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Foliations by surfaces of a peculiar class"}]},{"@id":"https://cir.nii.ac.jp/crid/1363388845856494464","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Relations de conjugaison et de cobordisme entre certains feuilletages"}]},{"@id":"https://cir.nii.ac.jp/crid/1363670320129780992","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Periodic Flows on Three-Manifolds"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282680093120896","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Canal foliations of <i><b>S</b></i><sup>3</sup>"},{"@value":"Canal foliations of S³"}]}],"dataSourceIdentifier":[{"@type":"JALC","@value":"oai:japanlinkcenter.org:2007055722"},{"@type":"NDL_SEARCH","@value":"oai:ndlsearch.ndl.go.jp:R000000004-I029459813"},{"@type":"CROSSREF","@value":"10.2969/jmsj/78117811"},{"@type":"CIA","@value":"130007557163"}]}